Special Values of Automorphic L-functions and Associated p-adic L-Functions (18w5053)

The Casa Matemática Oaxaca (CMO) will host the "Special Values of Automorphic L-functions and Associated p-adic L-Functions" workshop from September 30th to October 5th, 2018.

The p-adic L-function is a p-adic counterpart of Hasse-Weil L-functions for various motives or various automorphic L-functions. Thanks to Coates--Perrin-Riou and others, we have a precise conjecture which predicts the existence of p-adic L-functions for motives. However, the conjectural existence of such p-adic L-functions turns out to be related to a lot of problems of automorphic representations and automorphic L-functions. This workshop will forcus on recent advances on the construction of various cyclotomic p-adic L-functions as well as various recent technical advances on automorphic theory. Putting these things together, we hope to find and fix new motivating problems on p-adic Galois representation, automorphic representation theory, arithmetic of Shimura varieties etc.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.